lesson plan in math 4

Date:____________Day:______________

Estimating the sum

I . Learning Objectives

Cognitive: Estimate the sum of 6-or more digit addends.Psychomotor: Illustrate how to find the estimated sum of 6-digit

addends.Affective: Appreciate the importance of working hard

ll. Learning Content

Skill: Estimating the sum of 6-or more digit addendsReferences: BEC-PELC 1.B.3

Textbooks in math 4Materials: pictures,pocket chart,colored chalk,drill boardValues: Hard work, perseverance

lll. Learning Experiences

A. Preparatory Activities1. Drill: Basic addition facts using flashcards.

8+7 9+4 4+7 9+6

2 .Review“Rounding off numbers to the nearest 10 000 to 100 000”

Play “Pass the Paper game.” Each pupil in the column takes turn in rounding numbers as fast and correctly as they can. Check answers in class.

3. MotivationShow pictures of farmers working in a farm or coconut plantation.

What do you see in the picture? What does the faemer do to have a good quality harvest?Can you tell the number of the number of coconuts seen in the drawing?

B. Developmental Activities1. Presentation

Mang Mario has a coconut plantation. He usually works in his farm the whole day. He harvested 11 389 coconuts on first month and 15 481 coconuts on the second month. About how many coconuts did he harvest in two months?

Help pupils analyze and solve the given problem. Ask the following questions:a. What is asked in the problem?b. What are the given facts?c. What is the operation needed?d. What is the number sentence?e. What kind of a farmer is mang mario? What benefits ccould we work

hard? If you’re given a task. Do you work on it?

2. Group Activities

a.Work with partner. One will get the exact sum and the other will estimate the sum to the highest place value.(use your drill board)

a. 594 b.3 987 c.798 d.1 357 +467 +6 987 +357 +1 340

3. Generalization

What are the steps involved in estimating sums of 6 or more digit addends? How do you estimate? How would you come up with a good estimate?

Round the addends to the nearest highest place value then add. A good estimate is a little less or more than the exact answer.

C. ApplicationSolve the problem.

Mrs. Dayo’s poultry farm produced 238 378 eggs in 1997 and 147 932 eggs in 1998. About how many hundred thousands of eggs were produced in two years?

lV. Evaluation

A. Round each addend to the highest place value . Then add.1. 713 156 2.138 819 3. 514912 4.192 143 +291 724 + 861 41 + 813 127 + 361

414

V. Assignment

A. Estimate then find the exact sum.1. 56 534 2. 456 412 3.74 825 4.21 165 5.6378 + 90 845 + 141 708 + 9 567 + 3 270 + 2323

Date:____________Day:_____________

Adding Mentally 2-to-3 Digit Numbers with Sums Up to 300

l. Learning Objectives

Cognitive: Add 2-to 3-digit numbers mentally with sums up to 300 without regrouping

Psychomotor:Solve for the sum of 2- to 3- digit numbers mentally

Affective: Appreciate the value of three and other plants around us

ll. Learning Content

Skill: Adding mentally 3-digit numbers with sums up to 300References: BEC-PELC l.B.4

Textbook in Math 4Materials: flashcards, number cards,window cardsValue: Appreciation of nature

lll. Learning Experiences

A. Preparatory Activities

1. Drill

“Game on Basic Addition facts Using Flashcards”

Relay game by pairs.

2. ReviewEstimate the sum of each item orally.312 143 163 676 780

687+291 +414 +681 +275 +367 + 145

3. Motivation

Are trees and other plants important to us? Why? What do trees and other plants give us? Do you take care of our plants? In what way?

B. Developmental activities

1. Presentation Problem Opener

`` In an orchard, there are 125 avocados and 173 mango and santol trees. How many trees are there in all?

2. Group Activities

a. Activity 1

1. What kind of trees are found in the orchard?2. Can you name them?3. How would you get the total number of trees in the orchard?

4. Do you need to use paper and pencil? 5. Can you solve for the final answer mentally? How?

b. Activity 2Let us help the baby go up and down the stairs by

adding the equations mentally as fast as you can

3. Generalization

What is the fastest way in solving for the sum mentally? Recall once again the steps.

C. Application

Add the following numbers mentally.

1. 246 2.270 3. 153 4. 146 5. 134+52 + 25 + 136 + 150 + 45

lV. Evaluation

Teacher will flash a card one at a time in class. The task of each pupils is to write the sum on their paper.

a.115 b.213 c. 421 d.186 5.147+ 174 + 182 + 50 + 111 + 45

V. Assignment

Find the sum by adding mentally. Write the answer in your paper.1. 131 2.150 3. 123 4. 205 5. 121

+ 45 +123 + 33 +324 +45

113 + 174

111 + 178 = 186 + 113 =140 + 140 = 100 + 200 = 124 + 165 =

156 + 130 = 117 + 132 = 127 + 171 = 256 + 41 = 137 + 152 = 125 + 34 = 152 + 36 = 165 + 123 = 116 + 170 =

141 + 26 = 137 + 60 = 129 + 170 = 134 + 64 = 153 +36 = 190 + 110 =

Date:____________Day:______________

Analyzing Word Problems Involving Addition

I. Learning Objectives

Cognitive: Analyze word problems involving addition Psychomotor: Tell what is asked, what is/are given, the word

clues and the operation to be used in solving story problems

Affective: Show proper behavior during programs

II. Learning Content

Skill: Analyze word problems involving additionReferences: BEC-PELC I.B.5.1.1-5.1.4

Textbooks in Math 4 Materials: story problem, flash cards, pocket charts,

strips of cartolina Value: Proper behavior during program

III. Learning Experiences


1. Drill

Have a game using basic addition facts. (Use flash cards)

2. Review

Adding mentally without regrouping (work in pairs) to be given orally by the teachers.

Example: 65 green apples and 31 yellow red apples35 boys and 73 girls

3. Motivation

Who is your favorite artist? Your favorite singer? Why do you like him/her? Whenever you watch programs and performances, how are you supposed to behave?

B. Developmental Activities

1. Presentation

During the condert of Regine Velasquez at Araneta Coliseum, there were 3 120 females and 1 512 males who watch the concert. How many persons watched the concert?

Activity 1a. Who had a concert?b. Where the concert held?c. Who watced the concert?

Valuing:

How would you behave when watching a concert or other art performances?

Activity 2

Questions you should be written in activity cards to be distributed to each groups.

a. What is asked for the problem?b. What are given in the problem?c. What operation will help you solve the problem?d. What num ber sentence can you make from the given facts?

1. Practice/ Fixing Skills

Read and analyze each problem carefully (group activity).

a. During the week, 2 basketball games were played in the stadium. There were 9 948 people who came to watch the first game and 9 865 peple who came to watch the second game. How many people in all watched the two games?1. What is asked in the problem?2. What are given in the problem?3. What operation will help you solve the problem?4. What is the number sentence?

b. Mr. And Mrs. De la Rosa sold their lot in Tagaytay for ₱ 759,635.00 and their car for ₱ 435,126.00. How much did they get in all?

2. Generalization

What have you learned today? How do you story problems? What are the steps involved?

2. Application

Read and analyze each problem carefully.

1. Mrs. Lilia Gomez earned ₱ 144,670.00 in year 2003 while Mr. Sam Gomez earned ₱ 142,000.00 for the same year. How much did they earned altogether?

2. Mrs. Araneta exported prawns worth ₱ 24,000.00 and milkfish worth ₱ 15,000.00. What was the total cost of the seafoods exported by Mrs. Araneta?

IV. Evaluation

A. Analyze each problem carefully. Encircle the letter of the correct answer.

Mr. De Jesus owns a big piece of land planted with palay, corn and coconuts. This year, he harvested palay worth ₱ 58,570.00; coconut and corn worth ₱ 52,435.00. How much did he earn in all?

1. What are the given in the problem?a. ₱ 58,570.00b. ₱ 52,435.00 c. ₱ 58,570.00 and ₱ 52,435.00

2. What is asked in the problem?

a. The total palay harvestedb. The total amount earned from coconut and cornc. The total amount earned from palay, coconut, and corn

3. What operation is needed to solved the problem?a. Addition b. Subtraction c. Multiplication

4. What is the number sentence?a. ₱ 58,570.00 + ₱ 52,435.00 = nb. ₱ 58,570.00 - ₱ 52,435.00 = nc. ₱ 58,570.00 x ₱ 52,435.00 = n

5. What clues tello you that you are going to add?a. Moneyb. In allc. And

B. Read and analyze each problems carefully then solve. Lable you final answer.

1. A poultry farm exported 18 654 chickens last year and 25 172 this year. How many chickens were raised in two years?

2. Mang Jose gathered 2 365 eggs on the first week 1 875 eggs on the second week and 2 174 on the third week. How many eggs did he gathered in 3 weeks?

V. Assignment

Read and analyze each problems carefully.

1. Monica bought a pair of shoes for ₱ 1,495.00 and a bag for ₱ 599.00. How much did she pay the cashier?

2. The district property custodian distributed 7 981 English books and 5 172 Math books for Grades I to IV pupils. What is the total number of books distributed in all grades?

3. Angelica has two volumes of encyclopedia. One encyclopedia has 2 594 pages. The other has 2 678 pages. What is the total number of pages of the two volumes of encyclopedia?

Date:____________Day:______________

Solving Word Problems Involving Addition


Cognitive: Solve word problems involving addition of whole numbers including money with sums through millions and biilions

Psychomotor: Analyze and solve word problems accuratelyAffective: Share one’s ideas and materials with others


Skill: Analyzing and solving word problems involving addition of whole numbers

References: BEC-PELC I.B.5.1Textbooks in Math 4

Materials: story problems, charts, pictures, strips of cartolinaValue: Sharing


A. Preparaqtory Activities

1. Drill

Post addition equations on the board. Each pupil should solve the sum mentally as fast and as correct as he can.

32 45 16 44+ 2 +11 +43 +23

2. Review

Match the appropriate phrase suited to the given facts and statements below. Write the letter of the correct answer on the blank provided for.

a. Operation neeeded c. Number sentence e. Asked in the problem

b. Given facts d. Solution and answer

________1) The total populationfor both schools________2) 13,486 + 23,465 = n________3) addition________4) 13,486 + 23,465 = 36 951

3. Motivation

Song (Sing to the tune of “Planting Rice”.)

Learning math is really funNews ideas every timeThere is joy for everyoneProblem solving satiesfies

I am glad you are glad

For your answer are all rightWe all feel that we are brightSolving problems make us wise


1. Presentation

Materials:Drawing trees with figures shown on the trunk of each tree as mentioned in the problem

The Estrada’s and Cruzado’s are 2 generous families. They donated tree seedlings to the different barangays of the country. The Estrada family donated 126 896 acacia and ipil-ipil tree seedlings. The Cruzado family donated 315 724 molave and narra tree seedlings. How many seedlings were donated by the 2 families?

2. Group Work

Activity 1

A representative will act as a facilitator to discuss the questions presented by the teacher.a. Who are the families mentioned in the problem?b. What kind of families are they?c. What did they donate?d. How many trees were donated by the Estrada family?e. What kind of trees were donated by Cruzado family? Estrada family?

Valuing:

At your age, do you share things with others? What things do you share with others? What did you feel? (Share experiences in class.)

Activity 2

Call another representative in class to ask and discuss the following questions.

a. What is being asked in the problem?b. What are the given facts?c. What operation will you use to solve the problem? Why? Explain your

answer.d. Give the number sentence that will help you solve the problem.e. Show the solution to the problem on the board.

Example: 126 896 acacia and ipil-ipil trees +315 724 molave and narra trees 442 620 total trees donated by the 2 families

3. Fixing Skills/ Practice

Read the problem carefully then answer the following questions.a. There was a benefit show for the orphans. On the first day, ₱ 512,671.00

was earned. On the second day, ₱ 726,895.00 was the proceed. How much was generated by the shown in 2 days?

b. The math club of Barrio Obrero Elementary School started a newspaper drive to raised funds for the poor children of Sapang Palay. If one group

brought 434 253 old newspapers and the other group brought 625 250 old newspapers. How many old newspapers would there be in all?

Generalization

How do you solve problems? What are the steps involved in solving story problems? Elicit each steps.

In solving word problems involving addition of numbers with sums up to millions and billions, the following steps are to be followed:a)Read and understand the problem.b)Plan on what to do.c)Solve the problem.d)Look back to check if the answer to the problem is correct.

C. Application

Read and solve each problem care fully.1) During the best of seven series in the basketball game, there were 1 211 125

tickets sold in the fifth game while 2 179 600 in the sixth game. How many tickets were sold in the two games?

2) Mr. Domingo Sy earned ₱ 1,224,663.00 in the year 2001 while Mrs. Ellen Sy earned ₱ 926,175.00 for the same year. How much did they earned altogether?

IV. Evaluation

Read and solve the problems carefully.1. It was reported that the total population in Benguet is 541 817 and in Kalinga is

154 145. What was the total population of Benguet and Kalinga?2. Quezon City has a population of 8 424 262 while Manila has 11 189 296 people.

What is the combined population of the two cities?

V. Assignment

Solve the following problems carefully.1. Mr. Reyes purchased a pair of shoes worth ₱ 4,179.00 and a jacket which cost ₱

725.00 at SM Megamall. How much did he pay the cashier?2. There are two big central schools in Mindanao. In the first school, population

was 4 486 while 3 654 in the second school. What is the total population of the 2 schools?

Date:____________Day:______________

Solving Mentally 1-Step Word Problems


Cognitive: Solve mentally 1-step word problems involving addition with sums up to 300 without regrouping

Psychomotor: Tell the answer to the problems accurately Affective: Appreciate the beauty of nature


Skill: Solving 1-step word problems mentally References: BEC-PELC I.B.5.2 Materials: flash cards, pocket chart, set of numbers Value: Love of nature



1. Drill

2. Review

Sove the following math sentences.

a. What is the sum of 78 and 71?b. What is 74 more than 24?c. What is the result when 87 is added to 23?d. What is 18 more than the sum of 35 and 47?e. Add 35 to the sum of 43 and 69

3. Motivation

Who is your favorite newscaster? Why did you choose him/her? If given a chance, would you like to be like him/her?

A. Developmental Activities

1. Presentation

a. Call a pupil to report the problem in class.

One sunny day, Mrs. Almonte and her pupils went to the park. They enjoyed looking at the different flowers. On their way home, they decide to count all the flowers they saw. A group of boys reported that there were 71 roses and daisies while the girls reported 128 gumamela, camia, and yellow bells. How many flowers were there in all? This is (name of student) reporting.

Discussion:1) Who went to the park?2) What did they do there?3) If you were to visit a park, will you do what they did? Explain.4) What are the flowers mentioned in the problem?5) How many flowers were counted by the boys?6) How many flowers were couted by the girls?7) How many flowers are there in all?8) How did you get the answer?9) What is the fastest way of solving the given problem?10) How will you solve the problems mentally? Draw out the steps.

b. Solve mentally

1) A crowd of 162 people watched the first day of the foot ball game. The next day, 138 attended the game. How many people watched the games?

2) Ramon had ₱ 175.00. His father gave him ₱ 123.00. How much does he have now?

2. Fixing Skills/Practice

Divide the class into groups. Assign a leader to act as the facilitator in the discussion of the problem.

Group 1Jeff collected 145 stamps while Alvin collected 153 stamps. How

many stamps did they collected altogether?

Group 2Sheila used 147 bond paper. Irene used 132 bond paper. How many

sheets of bond paper did Sheila and Irene used altogether?

Group 3At Basilan Elementary School, there are 110 members of Science Club

and 181 members of Math Club. How many members are there altogether?

3. Generalization

How do you solve story problems mentally?

In solving word problems mentally, give the answer to the problems accurately without using paper and pencil.

c. Application

You can do these orally. Try them.1. Kevin picked 135 santols. Marie picked 161 santols. How many santols

were picked in all?

2. Lyn has 137 stamps in her album. Alma has 151. How many stamps do they have in all?

IV. Evaluation

A. Study the table then answer the following questions below.

1. How many pupils are enrolled in Grades 1 and 2 altogether?2. The total number of pupils enrolled in Grades 4 and 5 is _________3. What is he sum of the enrollment of Grades 5 and 1?4. The combined enrollment of Grades 3 and 4 is ________

B. Think and solve mentally1. Kalawaan Elementary School has 35 classes. Pasig Elementary School 24

more classes than Kalawan Elementary School. How many classes does Pasig Elementary School have in all?

2. Jenny is 35 years old now. Her mother is 41 years older. How old is her mother now?

3. The weight of Benjie is 74 pounds. His friend is 22 pounds heavier than him. What is the total weight of Benjie’s friend?

V. Assignment

1. Read and answer.a. Rosa sells fruits in the market. She earned ₱ 275.00 for her mangoes and ₱

126.00 for the papayas. How much did she earn from the fruits she sold?b. My aunt went shopping last Saturday. She bought a blouse for ₱ 280.00 and

an umbrella for ₱ 125.00. How much did my aunt spend in shopping?

Dr. Sixto Elementary Shool

Grade 1 – 140 Grade 4 - 120

Grade 2 – 115 Grade 5 144

Grade 3 - 152

Date:____________Day:______________

Subtracting Without Regrouping


Cognitive: Subtract 5- or more digit numbers from 6- or more digit numbers without regrouping

Psychomotor: Find the difference of 5- or more digit numbers from 6- or more digit numbers without regrouping

Affective: Show concern in the cleaning and greening of the community


Skills: Subtracting 5- or more digit numbers from 6- or more digit numbers without regrouping

References: BEC-PELC I.C.1.1Textbooks in Math 4

Materials: flash cards, pocket cardsValue: Environmental concern



1. Drill

Basic a ddition facts using flash cards

2. Review/Mental Computation

a. What is 45 more than the sum of 12 and 13?b. Tony picked 35 apples. His friend gave him 11 more. How many apple

were there in all?

3. Motivation

What do children of your age do to help the barangay officials in their campaign for the clean and green program? What activities would you suggest to promote the clean and green program of your barangay?

B. Development Activities

1. Presentation

a. Activity 1

In support of the clean and green campaign of our government, the officials and constituents of barangay Kalawan decided to raise a total amount of ₱ 685,976.00 to buy ornamental plants, flowering plants, grass and some garden materials. During the recent fund drive they conducted, they were able to raise a net amount of ₱ 234,802.00. How much more should they raise in order to meet the target amount for their beautification project?

1) What is asked in the problem?2) What are the given facts?3) What operation is to be used?4) What is the number sentence?5) Solution (help the pupils solve the problem)

Strategy 1

Subtract the ones Subtract the tens Subtract the hundreds

685 976 685 976 685 976

-234 802 -234 802 -234 802 4 74 174

Subtract the thousands Subtract the 10thousands Subtract the 100thousands 685 976 685 976 685 976 -234 802 -234 802 -234 802 1 174 51 174 451 174

Let us familiarize ourselves with the terms we used in subtraction.

₱ 685,976 (minuend) -₱ 234,802 (subtrahend) ₱ 451,174 (difference)

How do we check if our answer is correct? Do this bu adding the difference and the subtrahend. If the minuend and the sum are the same, then our difference is correct.

₱ 451,174 (minuend) +₱234,802 (subtrahend) ₱ 685,976 (difference)

Strategy 2 Used of expanded notation.

685 976 = 600 000 + 80 000 + 5 000 + 900 + 70 + 6 -234 802 =200 000 + 30 000 + 4 000 + 800 + 0 + 2

400 000 + 50 000 + 1 000 + 100 + 70 + 4 = 451 174

2. Generalization

How would you find the difference of 5- or more digit numbers from 6- or more digit numbers without regrouping?

In subtracting 5- or more digits from 6- or more digits without regrouping, subtract from the ones until the last given digit.

C. Application

Subtract.

a) 27 892 b) 287 196 c) 279 124 d) 78 465-16 574 -163 164 -59 113 - 52 431

Find the missing number.a) 85 421 b) 75 436 c) 495 837 d)787,251

-_ _ _ _1 -_ _ _12 -_7_2_ _ -_1_ _3_

IV. Evaluation

Find the difference. Choose the letter of the correct answer.

1) 67 071 a. 475 071 c. 52 010-15 061 b. 465 072 d. 56 572

2) 70 184 a. 40 010 c. 40 210-30 174 b. 40 111 d. 40 258

V. Assignment

Find the difference. Check your answer.

8 184 21 748 95 614 72 114 65 718

-6 153 -11 136 -34 512 -31 002 -23 416

Solve for n.

a. 38 415 – 27 304 = nb. n – 24 923 = 53 024c. 17 556 – (2 475 + 625) = nd. 875 122 – 764 111 = ne. 693 952 – 512 841 = n

Date:____________Day:______________

Subtracting With Regrouping


Cognitive: Subtract 5- or more digit numbers from 6- or more digit numbers having zeros in the minuend or subtrahend

Psychomotor: Illustrate how to subtract numbers from 6- or more digit numbers having zeros in the minuend/or

subtrahendAffective: Show concern of others


Skills: Subtracting 5- or more digit numbers by 6- or more digit number

References: BEC-PELC I.C.1textbooks in Math 4

Materials: flash cards, drill boardValue: Thoughtfulness



1. Drill

Follow the clue to find the final answer.

(-) (=) (+) (=)

(-) (=) (+) (=) (-)

40 inal answer

2. Review

Find the difference. 684 1 284 7 486

-298 -196 -5 162

3. Motivation

Who among you spend your vacation in the province? What will you do so that you will have money to spend during your stay there?

3712 ? 33 ?

13??66?


1. Presentation

Mang Lauro wanted to visit his father in the province. He was planning to give a colored TV to his father which costs ₱ 14,525.00. If he has saved ₱ 35,200.00 in a bank, how much will bve left in his bank account?

a. Who wanted to go to the province?b. How much is his savings?c. What will be his gift to his father?

Valuing:

Even if you are still young can you also save money to buy a gift for your father? How?What good character trait does Mang Lauro possess?

Discussiona. What does the problem want you to find?b. What are the given facts?c. What word clues tell you what to do in the problem?d. What number sentencecan you make out of the given information?e. What is the answer?

Steps in Subtracting Numbers:

1. Some digits in the subtrahend are bigger than the digits in the minuend so you have to regroup.Rename 5 thousands first as 4 thousands and 10 hundreds.

35 200 -14 525

2. Regroup 10 hundreds with 2 hundreds.10H + 2H = 12H

Rename 1 hundreds as 10 tens.12H – 1H = 11H

35 200 -14 525

3. Regroup 1 tens as 10 ones35 200

-14 525

4. Now you can subtract the subtrahend from the minuend. Subtract the ones. Sibtract the tens. Subtract the hundreds. Subtract the thousands. Subtract the ten thousands.

3 5 2 0 0 -1 4 5 2 5 2 0 6 7 5

2. Practice/Group Activities

Regroup each minuend so that you can begin subtracting.

a) 4 053 b) 6 309 c) 51 623 d) 26 876-1 206 -2 134 -15 535 -14 327

e) 40 681 f) 6 010 g) 57 360 h) 87 654 -12 530 - 3 040 -29 435 -24 561

i) 31 896 j) 754 334 k) 64 710 l) 405 679 -22 458 -25 564 -39 256 -256 495

3. Generalization

How will you subtract numbers with regrouping?

To subtract numbers with regrouping, start subtracting from the ones digit. If the digit in the minuend is less than the digit in the subtrahend there isa need to regroup and rename. Continue up to the biggest place value.

4. Application

Follow the rule. Find the missing numbers.

1. Rule: Subtract 2 000 from the given number/input.

Input Output9 6357 4068 5648 1539 401

2. Rule: Subtract 12 914 from the given number/input.

Input Output63 84235 00128 60279 80489 716

IV. Evaluation

Subtract. Write your answers on your paper.

a) 14 362 b) 52 090 c) 8 040 321-2 784 -19 816 -901 007

d) 15 134 e) 803 020 f) 630 720 -13 750 -114 040 -425 408

g) 82 751 h) 682 700 i) 715 102 -61 903 -299 438 -190 059

V. Assignment

Find the difference and check.

a) 783 104 b) 508 220 c) 208 050 - 36 842 -42 860 -98 4

Date:_____________Day:______________

Subtracting Large Numbers With Zero Difficulty


Cognitive: Subtract 5- or more digit numbers from 6- or more digit numbers with 3 continuos or non-continuos zeros in both the minuend and

subtrahendwith regrouping Psychomotor: Solve for the difference of 6- or more digit

numbers with zero difficultyAffective: Support organization that help poor people


Skills: Subtracting large numbers with zero difficultyReferences: BEC-PELC I.C1.2.2

Textbooks in Math 4Materials: flash cards, charts, pocket chartsValue: Helpfulness



1. Drill

Subtract. 17 18 21 17 23 35 41 19-10 -11 -16 -12 - 19 -11 -21 -19

2. Review

Find the difference.

= =

= =

=

3. Motivation

78 814

3 876 47 765

59 732

1 968

What government organization help poor people? Have you experienced asking help from some organizations?


1. Presentation

Red Cross is an organization whic h helps the poor people. During the Red Cross Week, Garita Elementary School was given 12 000 tickets to sell for a benefit show. The school was able to sell 9 032 tickets. How many tickets were not sold?

a. Who sells tickets?b. Why do they sell tickets?

Valuing: As a student , how will you help this organization? Is it right to help them? Why?

Discuss the solution to the problem.

12 000 1 2 0 0 0 1 2 0 0 0 -9 032 - 9 0 3 2 - 9 0 3 2

2 9 6 8

2. Group Activity

a. Find the difference by subtracting the indicated numbers from 800 120.

3. Generalization

How can you subtract numbers with 3 continuos or non-continuos zeros in both minuends and subtrahends and with regrouping in any places?

When there are continuos zeros or non-continuos zeros, we regroup first in places that need regrouping, starting at the leftmost digit, then proceed to subtraction.

C. Application

Find the difference.1)780 004 2) 876 000 3) 9 856 000 4) 900 603

-36 842 -26 453 -500 032 -590 40

400 050

711 000

70 625500 200

621 000

800 120

IV. Evaluation

Find the difference. 1) 900 034 2) 867 000 3) 320 400 -720 004 -123 000 -10 009

V. Assignment

Write in column and subtract.1) 901 060 006 – 9 300 518 = n2) 80 000 000 – 1 234 567 = n3) 726 140 009 – 402 124 000 = n4) 100 000 000 – 85 643 214 = n5) 421 300 048 – 216 321 832 = n

Date:_____________Day:______________

Estimating the Difference of Two Numbers


Cognitive: Estimate the difference of two numbers with four to six digits

Psychomotor: Solve for the difference mentallyAffective: Show love and cocern for parents


Skill: Estimating the difference of two numbers with four to six digits

References: BEC-PELC 1 C 1.3Textbooks in Math 4

Materials: flash cards, chartsValue: Thoughtfulness



1. Drill2.

Find the difference.

65 – 22 = 10 – 6 = 9 – 5 = 17 – 10 =

127 – 105 = 7 – 3 = 12 – 6 = 18 – 11 =396- 254 = 17 – 9 = 11 – 8 = 12 – 7 =

3. Review4.

Round the following numbers to the nearest tens and thousands.

Nearest tens Nearest Thousandsa. 74 325 __________ _______________b. 25 936 __________ _______________c. 127 547 __________ _______________d. 31 247 __________ _______________e. 743 426 __________ _______________

5. Motivation

What would you do if you cannot afford to buy a greeting card or gifts for your loved ones? What do you feel?


1. Presentation

The grade 4 pupils of Maybunga Elementary School made 2 568 greeting cards for their parents while the grade 3 pupils made 1 756 cards. About how many more greeting cards did the grade 4 pupils make than grade 3?

a. Who made greeting card?b. Why did they make the cards?c. Who among them made more cards?

Valuing:

To whom will they give the cards? Do you also give cards to your parents?

Activity 1

a. What is asked in the problem?b. What are the given facts?c. What operation is to be used?d. What is the number sentence?

To estimate the difference, round off the minuend and subtrahend to the highest place value then subtract.

2 568 3 000 2 568 -1 756 -2 000 -1 756

1 000 – estimated diiference 812 – actual difference

Activity 2

Estimate to the highest place value then find the difference.

a) 54 798 b) 95 895 c) 349 258-42 991 -72 521 -121 123

2. Generalization

How do you estimate the difference of two numbers with four to six digits?

To estimate the difference of two numbers with four to six digits, round each of the numbers to the highest place value then subtract.

C. Application

1. Round each minuend and subtrahend to the nearest a) tens b) hundreds c) thousands d) ten thousands then find its estimated difference.

78 528 78 530 -43 187 -43 194

2. Estimate the difference to its highest possible place value.

a) 6 348 b) 8 888 c) 13 429 d) 52 634 e) 73 287-3 344 -2 929 -12 363 -19 584 -48 896

IV. Evaluation

A. Estimate the difference by rounding to the nearest ten thousands.1) 85 946 2) 34 879 3) 59 679 4) 67 595

-52 346 -16 843 -37 051 -49 172

V. Assignment

1. Ask the actual income of the family. Estimate the difference of the family’smonthly expenses from their actual income.

2. Estimate the difference by rounding to the nearest a) tens b) hundreds c) thousands d) ten thousands.

194 385 -168 651

3. Estimate the difference by rounding to the highest possible place value.

5 672 67 935 84 764 -5 219 -61 398 -84 159

Date:____________Day:______________

Subtracting Numbers Mentally without Regrouping


Cognitive: Subtract mentally numbers with minuends up to 300 without regrouping

Psycomotor: Give the correct answer mentally and orallyAffective: Show the value of helpfulness when given a task


Skill: Subtracting mentally with minuends up to 300 without regrouping

References: BEC-PELC I.C.2textbooks in Math 4

Materials: flash cards, chart, window card, pocket chartValue: Helpfulness



1. Drill

Basic subtraction facts.Each pupil takes turns in anwering the basic subtraction facts written on each strip of manila paper. Check the answer in the class.

10-2

10-9

10-7

15-6

16-7

12 -8

10-9

2. Review

This may be done in form of a game. Let a pupil pick one petal of the flower (one at a time) and have him/her answer the question.

87-64

37-26

53-32

78-24

-

3. Motivation

During weekends, what do you do to help your parents earn extra income? Guide the pupil to see the value of helpfulness.

B. Developmental Avtivities

1. Presentation of Lesson

During weekends, Leah helps her mother sell mangoes in the market. One morning, she had 275 mangoes. At the end of the day, she had 55 mangoes left. How many mangoes were sold?

2. Discussion

a. How many mangoes did Leah have in the morning?b. How many mangoes did she have at the end of the day?c. What will you do to get the answer?d. What is the fastest way of solving for the final answer?e. How many mangoes were sold?

3. Fixing Skills/Practice

a. Relay Game

Mechanics:Group the pupil into 5. Let them form a line outside or inside the

room. Teacher writes all the exercises in a rolled paper and paste it on the board. When the teacher says, “go”, pupil takes turn in going to the board. The first group who correctly answers the questions wins.

Group 1 Group 2 Group 3 Group 4 Group 5

1) 276 2) 239 3) 179 4) 264 5) 148 -132 -135 -146 -153 -46

b. Supply the missing numbers orally

1) 2) 3) 4) 171 5) 148-102 -132 -275 - - - 104 141 33 210 102

c. Find the missing numbers to complete the puzzle. Subtract horizontally and vertically.

1) 2)

4. Generalization

How can you subtract mentally? Give the steps.

C. Application

1. Subtract mentally.a. 284 – 174 = nb. 340 – 130 = nc. 182 - 130 = nd. 488 – 242 = ne. 575 – 273 = n

2. Subtract mentally the following numbers.a) 299 b) 239 c) 266 d) 278 e) 265

-183 -153 -155 -178 -152

IV. Evaluation

Give the difference orally.1) 300 2) 239 3) 270 4) 290 5) 239

-200 -105 -120 -190 -133

6) 284 7) 281 8) 248 9) 205 10) 211 -221 -141 -137 -204 -101

V. Assignment

Subtract mentally.1) 762 2) 838 3) 174 4) 174 5) 294

-241 -712 -100 -74 -253

274 _____ 142_____ 21 _____131 _____ 20

_______ 248 44143 112 _______149 _____

_13

Date:____________Day:______________

Analyzing Word Problems Involving Subtraction


Cognitive: Analyze word problems involving subtractionPsychomotor: Write the correct answers to the questionsAffective: Help one another during class activities


Skill: Analyzing word problemsReferences: BEC-PELC I.C.3.1.1-3.1.4

Textbooks in Math 4Materials: word problems on chartValue: Helpfulness



1. Drill

Basic facts on subtractionExample:

2. Review

Do black board excercises.

85 38 67 987 574-43 -12 -35 -452 -242

3. Motivation

What can you say about the prices of commodities nowadays? How can you help your parents in making both ends meet?

Ana, a grade 4 pupil, helps her mother in their fruit stand. One Saturday, they sold 1 950 green and yellow mangoes. If they sold 957 green mangoes,

8 - 8 9 - 2 7 - 3 9 - 5 8 - 3

how many yellow mangoes did they sell?


1. Presentation

What is asked in the problem?What are the given facts?What is the word clue?What operation will you use?Illustrate the problem.

Valuing: How did Ana help her mother? What kind of daughter is Ana? Who

among you helps in the family? Aside from selling mangoes, what else can you do to help your parents?

2. Group Work Activity

Group the pupils into 4. Let each group get one problem in the box and answer the questions below each problem.

a. Mang Pedro exports native bags. He produced 2 780 bags in 2001 and 4 093 bags in 2002. How many more bags did his family produced in 2002 than in 2001?- What is aked in the problem?

- What are the given facts?

- What are the word clues?

- What is the operation to be used in solving the problem?

b. A municipality has a population of 14 276. After 2 years, it became 14 858. How many people were added to the previous population?- What is aked in the problem?




c. Philip bought 4 629 kg of garlic and sold 2 348 kilograms. How many kilograms of garlic were left?- What is aked in the problem?




d. There were 1 415 children vaccinated at the health center. Six hundred ninety-five were boys. How many were girls?- What is aked in the problem?




3. GeneralizationHow do we analyze word problems?

In analyzing word problems, follow these guide questions:

- What is aked in the problem?- What are the given facts?- What are the word clues?- What is the operation to be used in

solving the problem?

C. Application

Read the problem carefully and answer the answer that follows.

During the mango season, Mr. Andres Marquez sold 32 192 pieces of ripe mangoes. He also sold 16 514 pieces of green mangoes. How many more ripe mangoes did Mr. Marquez sell than green mangoes?

a. What is aked in the problem?b. What are the given facts?c. What is/ are the word clue/s?d. Write the mathematical sentence for the probleme. What is the correct answer?

IV. Evaluation

Read each problem carefully. Identify the given facts and operatio to be used to solve the problem.1. Luis sold empty bottles on Saturday and received ₱ 18.50. He bought half a kilo

of rice for ₱ 10.50. How muchmoney was left?2. Mang Tomas caught 165 kilos of fish in the morning and 178 kilos of fish in the

aafternoon. How many more kilos of fish did he catch in the afternoon than in the morning?

3. Rafael Palma Elementary School has 3 573 pupil last year. This year, it has 4 745. How many pupils were added this year?

4. Arturo has 1 879 rubber bands. He lost 728 in the game. How many rubber bands were left with him?

5. There were 6 278 people at the Rizal Memoeialo Stadium in the morning and 4 561 people in the afternoon who watch the ball game. How many more people came in the morning than in the afternoon?

V. Assignment

Read and analyze the problems.1. Bongs’s round trip plane ticket from Manila to Zamboanga costs ₱ 6,860.00. His

other trip to Davao costs ₱ 6,930.00. How much more did he spend in his travel to zamboanga than in Davao?

2. Ric traveled to Baguio and bought woodcarvings worth ₱ 2,345.00. He also bought bottled sweets and fresh vegetables costing ₱ 598.00. How much more did he spend in woodcarvings than in sweets and fresh vegetables?Complete the statement:a. The problem asks_______

b. The given facts are______c. The number sentence is______d. The clue is______e. The answer is_______

Date:____________Day:______________

Solving Mentally 1-Step Problems Involving Subtraction without Regrouping

I. Learning ObjectivesCognitive: Solve mentally 1-step word problems involving

subtraction without regrouping Psychomotor: Solve mentally problemsAffective: Show appreciation for God’s creation


Skill: Solving mentally 1-step word problems involving subtraction without regrouping

References: BEC-PELC I.C.3.2Textbooks in Math 4

Materials: flash cards, picture, chart, activity sheets, paper, crayons

Value: Appreciation of God’s creation



1. Drill

Mental ComputationLet the pupils solve for the difference mentally as fast and as correct as they can.

96 85 874 305 4 248 -54 -61 -523 -202 -2 125

2. Review

Answer orally:Jose sold 120 sampaguita garlands. Rosa sold 135 sampaguita garlands.

How many more sampaguita garlands did Rosa sell than Jose?

3. Motivation

Show pictures of trees, skies, land, fish, people,etc.

Valuing: Who created these things? Can we be like God? Why or why not?


1. Presentation

Marc has 78 fishes in his aquarium. His mother transffered 25 fishes into another aquarium. How many fishes were left?

2. Discussion

Guide the pupils in the discussion of the problem by answering the following questions.a. What is asked in the problem?b. What are given?c. What operation is needed to solve the problem?d. What is the fastest way of solving for the final answer?e. What is the final answer?

Group the pupils by pairs. Distributed activity sheets to each pair. Their task is to help each other solve the problems carefully.

a. Edgar helps his father in the farm. There were 150 coffee seedlings. If 90 seedlings have been planted, how many more does he needed to plant?

b. Aling Norma has 12 children. Ten of her children went to America. How many children still lives with Aling Norma?

c. If Carlo accidentally broke 12 of his 24 crayons, how many crayons were not broken?

d. Loren has 15 guaves. She gave 12 guavas to her sister. How many has she left?

e. Mother baked 28 cookies. Lita ate 12 of the cookies. How many cookies were left?

3. GeneralizationHow do we solve problems involving subtraction mentally? What are the

rules to remember in solving problems mentally?

In solving word problems involving mental subtraction, follow the following steps: understand, think and give your answer without using pencil and paper, then look back to check your answer.

C. Application

Solve mentally. Write the answer on your paper.1. Danny planted 54 upo seedlings. Ernie planted 65 ampalaya seedlings. Who

planted more? How many more?2. Nancy planted 39 patani seeds. If 13 of them did not grow, how many seeds

grew?

IV. Evaluation Solve the problems mentally.1. Nilo bouhgt 15 candles. On his way home, he ate 5 of the candles. How many

candles did he bring home?

2. Mother gave Niko ₱ 14.00 for his allowance. He spent ₱ 12.00 for a pad paper and a pencil. How much money was left for Niko?

3. Jose and Rose sell sampaguita garlands. Yesterday , Jose sold 110 garlands while Rose sold 235 garlands. How many more garlands did Rose sell than Jose?

V. Assignment Create your own story problem involving subtraction. You may exchange problems

with your partners them try to solve it accurately. Discuss solutions in class.

Date:____________Day:______________

Word Problems Involving Subtraction

I.Learning ObjectivesCognitive: Solve word problems involving subtraction of numbers

including money, with and without regrouping Psychomotor: Write the nuber sentence for a given story problemAffective: Practice wise decision-making

II. Learning ContentSkills: 1. Writing number sentence for story problems

2.Solving word problems involving subtraction of whole numbers including money with and without regrouping

References: BEC-PELC I.C.3.1textbooks in Math 4

Materials: flash cards, chart on problem solvingValue: Intelligent decision in voting

III. Learning ExperiencesA. Preparatory Activities

1. DrillHave a short drill on selected subtraction facts.

35 18 16 31 34-5 -7 -8 -9 -6

2. ReviewFind the difference.

7 367 6 380 7 125 2 375 9 245 -2 314 -2 629 -5 443 -1 142 -6 730

3. Motivation

Purok Masagana has 7 206 registered voters. If 3 271 are male voters, how many are female voters?

How many registered voters are there?How many male voters are there?How many are female?

Valuing: If you are to vote for your student government, hor are you going to

select a good leader? Why?B. Developmental Activities

1. Presentationa. What is asked in the problem?

b. What is/are the given in the problem?c. What operation will you use? Is there a clue word?d. What is he number sentence for the problem?e. How is the solution done?

2. Group ActivityGroup the pupils into 2 groups. Have each group solve the problems then present their work to the class.Group 1

1) The pineapple planters of Laguna gathered 4 276 pineapples last month. This month, they harvested 6 278 pineapples. How many more pineapples did they harvest this month than last month?

2) Mrs. Posadas wants to buy a washing machine worth ₱ 5,785.00. She has ₱ 2,356.00 cash on hand. How much more money does she need in order to buy the washing machine?

Group 21) A fish dealer sold 232 12 kg of assorted fish in one week. If 156 218

kg were sold in 4 days, how many kg of fish were sold in 3 days?2) Mr. Perez bought a car that costs ₱ 356,826.00. After five years, she

decided to sell the old car for ₱ 186 738.00. How much is the cost difference?

3. Generalization What are the steps to follow in the problem?What clues are needed to solve word problems involving subtraction?

C. ApplicationSolve the following word problems.1. In a week , Mang Carlos earned ₱ 4,265.00 for catching fish. He gave ₱

1,500.00 to his wife and deposited the rest in the bank. How much did he deposited in the bank?

2. Mrs. Malvar and her eldest daughter watched a songfest. There were 10 206 who watched the said competition. If 6 259 were females, how many were males?

IV. Evaluation Read and solve the following word problems.

1. Virgie collected 1 280 local and international stamps. If 452 were local stamps, how many were international stamps?

2. The school property custodian distribured 4 758 English and Math books for grade IV pupils. If 2 307 are English books, how many are Math books?

V. AssignmentRead and solve the following word problems.

1. To sustain and maintain the clean and green project, the city hired 315 new workers. If they need 1 210 new workers, how many more should be hired?

2. The Junior Red Cross members of Bagong Silang Elementary School collected old newspapers and bottles. They sold the old news papers for ₱ 1,090.00 and the bottles for ₱ 2,115.00. How much more did the Junior Red Cross earn from selling bottles than newspapers?

Date:____________Day:______________

Analyzing 2-Step Word Problems Involving Addition and Subtraction Including Money

I. Learning ObjectivesCognitive: Analyze word problems involving addition and

subtraction including moneyPsychomotor: Solve problems involving addition and subtraction

including moneyAffective: Appreciate the value of work

II. Learning ContentSkills: 1. Analyze word problems

2. Telling what is asked, what are given, the word clues, the hidden question and the

operation to be used3. Transforming the word problem into a number

sentence4. Using the correct operation5. Solving for the final answer with the necessary

lableReferences: BEC-PELC I.C.4.1.1-4.1.4

Textbooks in Math 4Materials: charts, strips of cartolina, manila paper, markersValue: Value of hardwork


1. DrillDo merry-go-round. Divde the class into groups of 5. Each pupil takes

turn in solving for the sum/difference mentally to be written in an activity sheet. Check answer in class.

25 37 74 65 46 98 64 37+86 +43 +28 +13 -33 -75 -49 -18

2. Review

Tell a story on each of the items belows.a. 26 mangoes, 30 bananas b. 26 + 30 = n c. 56 fruits d. number of fruits e. Addition

3. Motivation Rica’s father earns ₱2,500.00 a week. Her mother earns ₱1,800.00.

They set aside ₱3,500.00 fo their weekly expenses. How much money was left for their savings?

What do you know about the word earnings, savings, and expenses?Valuing:

Why do people work? Do yoo spend all your earnings? Why do you have to save?


Guide the students in analyzing and solving the problems in class. Refer to the questions below.a. What is asked in the problem?

The total savings for the week.b. What are given?

₱2,500.00 ₱1,800.00 ₱3,500.00c. What is the hidden question?

How much do they earn altogether?d. What words were used to help solve the problem?

Money left as savingse. What operation will you use?

Addition and subtractionf. What is the number sentence?

(2 500 + 1 800) – 3 500 = ng. What is the answer?

₱ 800.00 ina weekGive more problems to be discussed in class.

Adrian bought a bag for ₱ 500.00 and a raincoat for ₱ 250.00. Maria bought an umbrella for ₱ 230.00. How muchmore did Adrian spend than Maria?

2. Group ActivityDivide the class in the groups of 2. Distribute a sheet with problems on it.

The task of the students is to help each other solve the problems. Assign a representative/leader to report and discussed solutions made by their group in class.

a. Mr. Nicolas bought a house for ₱ 350,000.00. He spent ₱ 120,000.00 for its repair. Then, he sold the house for ₱ 670,00.00. How much did he gain?

b. In Novembe, Mrs. Rizon spent ₱ 8,200.00 for household expenses and ₱ 1,750.00 for her children’s allowance. In October, she spent ₱ 8,550.00 for the same expenses. How much more does she spend in November than in October?

3. Practice Exercises

Solve the following problems using the steps in problem solving.a. Some pupilsl donated seedlings for their plant-a-tree project. The girls

donated 2 518 seedlings while the boys donated 1 736 seedlings. Of these seedlings, 1 358 withered. How many plants did not wither?

b. Jay watched two movies and paid ₱60.00 each as admission fee. Then, he ate at a restaurant and paid ₱ 120.00 for the pizza and a glass of juice. If he spent ₱ 10.00 for the transportation, how much money was left if he had ₱ 400.00 at the start?

4. Generalization

C. Application D.

Read the problem and solve on your paper.1. In 1990, the number of overseas workers in the country was 41 730, in 1992

it went up by 12 768. In 1995, it went up to 782 297. What was the increase in the number of overseas workers from 1990 to 1995?

IV. Evaluation Solve the problems by following the steps in problem solving1. Precy went shopping. She wants to buy a pair of pants which cost ₱ 395.00 and a

blouse which costs ₱ 250.00. How much would be her change if she gave the cashier ₱ 1,000.00?

2. The school auditorium can hold 5 000 people. Of the school population, 3 246 boys and 1 362 girls went to see the basketball game. How many more students can the auditorium accomodate?

V. Assignment

Write your analysis of these problems by answering the seven questions in the presentation part.

1. Mrs. Reyes collected 8 345 seashells from Luzon, Visayas, and Mindanao. She collected 3 420 from luzon and 3 058 from Mindanao. How many seashells did Mrs. Reyes collect from the Visayas?

2. You have ₱ 200.00. How much change would you receive if you paid for all the items below.

Ballpens and pencils ₱ 48.00Notebooks ₱ 75.00Crayons ₱ 24.00Pad paper ₱ 20.00Art papers ₱ 31.00

Date:____________Day:______________

Solving 2-Step Word Problems Involving Addition and Subtraction Including Money


Cognitive: Solve 2-step word problems involving addition and subtraction including money

Psychomotor: Solve problems accuratelyAffective: Show love for books


Skill: Solve 2-step word problems involving addition and subtraction including money

References: BEC-PELC I.C.4.1Textbokks in Math 4

Materials: flash cards, chartsValue: Love for books


1. DrillUse flah cards for the basic addition and subtraction facts.

3 9 5 6 9 4 8 +8 +2 +7 +4 +8 +7 +8

12 11 6 15 18 17 -5 -8 -2 -7 -8 -9

2. ReviewFind the sum. Write the answers in your math notebooks.

238 277 364 811 675+215 +124 +125 +278 +324

3. Motivation Have you gone to the library?What do you see in the library?


Glenda and Girlie love to read bokks. They always go to the library to

read books. Glenda has read 238 books and Girlie read another 215 books. If their library has 10 000 books, how many more books do they still need to read?

Let 2 or 3 pupils show the solution on the board. Discuss the solutions on the board.

10 000 – (238 + 215) = n10 000 – 453 = nN = 9 547 books

Valuing: What kind of girls are Glende and Girlie? Do you alse enjoy reading books? What kind of books do you love to read? Is reading books a good hobby? Why?

2. Group Activitya. Activity 1

Divide the class into groups/columns. Let the pupils help each other solve the problem. Show the solution.1) Aling Naty picked 25 tomatoes from her vegetable garden on

Monday and 43 tomatoes on Tuesday. She used 12 of these for cooking. How many tomaoes were left?

2) Nita needs ₱ 100.00 for her project. Father gave her ₱ 25.00 and her mother gave her ₱ 55.00. How much more does she need?

3) Janice collected 300 shells and Riza collected 250 shells on the beach. On their way home, they lost 120 shells. How many shells were they able to bring home?

3. GeneralizationWhat do we have to do before we can solve a problem?

Follow the steps in analyzing and solving a problem.

a. Think c. Solve b. Plan d. Look

back

C. Application Group the pupils. The leader of each group will picked a problem using

the “Wheel of Fortune”. They will be given 2 minutes to solve the problem. If the answer is correct, they will be given points.

1. Mr. and Mrs. Ignacio planned to buy a house and lot worth ₱ 31,486,875.00 and a car worth ₱ 1,755,930.00. If they have ₱25,950,395.00, how much more money do they have to raise to be able to buy the house and lot and the car?

2. In 1998, the population of Barangay San Antonio was 5 786. In 1999, there were 1 296 new borns and 325 deaths. What is the population of Barangay San Antonio at the end of 1999?

IV. EvaluationSolve the following problems.1. Lino sold empty bottles on Saturday and received ₱ 18.00. On Sunday, he

received ₱ 21.00. He spent ₱ 15.00 for food. How much money was left?2. Rafael earned ₱ 45.00 for washing cars and ₱ 55.00 for running errands. He

bought a box of crayon for ₱ 24.00. How much money was left?

3. Mandy caught 148 fishes in the morning 216 in the afternoon. He gave 56 of these to her mother for dinner. How many fishes were left to be sold in the market?

V. AssignmentSolve the problem. Show your solution.1. A mineral water company produced 15 476 bottles of mineral wateer fer the

month of June and 21 658 for the month of July. There were able to sell 33 274 bottles of mineral water. How many bottles were unsold?

lesson plan in math 4

Documents

exact sum

digit addendsreferences

good estimate

number of coconuts

learning objectivescognitive

estimated sum

drill game

hard work